# MATH/233 Unit 2 Individual Project - A Guaranteed!

Mar 29th, 2015
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MATH/233 Unit 2 Individual Project - A Guaranteed! MATH233 Unit 2: Polynomial Functions Individual Project Assignment: Version 2A IMPORTANT: Please see Part b of Problem 4 below for special directions. This is mandatory. Note: All work must be shown and explained to receive full credit. 1. Find the derivative of the following functions. (Do not simplify.)

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MATH233 Unit 2: Polynomial Functions Individual Project Assignment: Version 2A IMPORTANT: Please see Part b of Problem 4 below for special directions. This is mandatory. Note: All work must be shown and explained to receive full credit. 1. Find the derivative of the following functions. (Do not simplify.) a. ? = 2?2 ?5? +3??2 +4??3 b. (?) = (5?3 +?2)(2? ?4) c. (?) = (?2? 2? + 5)/xd. ? = (7?2?)3 2. Let(?) = ?3 ?? ?1. a. Find the equation of the tangent line to the graph of the function at x = 0. b. What does the derivative of the function at x = 0 tell you about the direction at that point? Is it increasing, decreasing, or neither? 3. Let(?) = ?3 ?27?. a. Find all of the relative extrema of g(x) algebraically. b. Sketch the graph of g(x), and label all of the relative extrema on the graph. 4. The height, h (in feet), of an object shot vertically upward from the ground with an initial velocity of v0 ft/sec is modeled by the following function: ?(?) = ?16?2 +?0? where t is the time (in seconds). a. Choose one value for v0 between 120 and 480 to be used in your height function equation above. b. Important: By Wednesday night at midnight, submit a Word document stating only your name and your chosen value for v0 above in Part a. Submit this in the Unit 2 IP submissions area. This submitted Word document will be used to determine the Last Day of Attendance for government reporting purposes. c. How fast is the object moving a

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